question stringlengths 40 165 | answer stringlengths 6 35 | instruction_seed stringlengths 40 165 | response_seed stringlengths 6 35 | _source stringclasses 1
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b'Three letters picked without replacement from {u: 4, r: 3}. What is prob of sequence rur?\n' | b'4/35\n' | b'Three letters picked without replacement from {u: 4, r: 3}. What is prob of sequence rur?\n' | b'4/35\n' | deepmind/math_dataset |
b'Let m(x) be the second derivative of 0 - 3*x + 0*x**3 + 5/28*x**8 + 0*x**2 + 0*x**7 - 1/2*x**4 + 0*x**5 + 0*x**6. What is the third derivative of m(s) wrt s?\n' | b'1200*s**3\n' | b'Let m(x) be the second derivative of 0 - 3*x + 0*x**3 + 5/28*x**8 + 0*x**2 + 0*x**7 - 1/2*x**4 + 0*x**5 + 0*x**6. What is the third derivative of m(s) wrt s?\n' | b'1200*s**3\n' | deepmind/math_dataset |
b'Suppose -4*i = i - 10. Solve 5*v = 4*j - i, 23 = -4*v - 3*j + 9 for v.\n' | b'-2\n' | b'Suppose -4*i = i - 10. Solve 5*v = 4*j - i, 23 = -4*v - 3*j + 9 for v.\n' | b'-2\n' | deepmind/math_dataset |
b'Let c(o) = -o - 24. Let m(p) be the second derivative of -p**4/12 - 11*p**3/3 + 38*p. Let b be m(-22). Give c(b).\n' | b'-24\n' | b'Let c(o) = -o - 24. Let m(p) be the second derivative of -p**4/12 - 11*p**3/3 + 38*p. Let b be m(-22). Give c(b).\n' | b'-24\n' | deepmind/math_dataset |
b'Let p(s) = -s**3 - 8*s**2 - s - 11. Let l(i) be the second derivative of -1/12*i**4 + 4*i + 0 + 1/3*i**3 - 5/2*i**2. Let w be l(3). Determine p(w).\n' | b'-3\n' | b'Let p(s) = -s**3 - 8*s**2 - s - 11. Let l(i) be the second derivative of -1/12*i**4 + 4*i + 0 + 1/3*i**3 - 5/2*i**2. Let w be l(3). Determine p(w).\n' | b'-3\n' | deepmind/math_dataset |
b'What is prob of picking 1 r and 2 j when three letters picked without replacement from {h: 3, j: 2, e: 1, p: 1, w: 1, r: 3}?\n' | b'1/55\n' | b'What is prob of picking 1 r and 2 j when three letters picked without replacement from {h: 3, j: 2, e: 1, p: 1, w: 1, r: 3}?\n' | b'1/55\n' | deepmind/math_dataset |
b'Calculate prob of picking 2 q when two letters picked without replacement from {k: 2, w: 8, q: 7, m: 3}.\n' | b'21/190\n' | b'Calculate prob of picking 2 q when two letters picked without replacement from {k: 2, w: 8, q: 7, m: 3}.\n' | b'21/190\n' | deepmind/math_dataset |
b'Two letters picked without replacement from paakyppppkppkykpk. Give prob of picking 2 a.\n' | b'1/136\n' | b'Two letters picked without replacement from paakyppppkppkykpk. Give prob of picking 2 a.\n' | b'1/136\n' | deepmind/math_dataset |
b'Suppose -4*k = -7*k + 15. Suppose -5*r + 11 = -o, 0 = 5*o - o + 5*r - 31. Solve -o*t = -k*y - 20, -5*t + 5*y + 17 = -8 for t.\n' | b'5\n' | b'Suppose -4*k = -7*k + 15. Suppose -5*r + 11 = -o, 0 = 5*o - o + 5*r - 31. Solve -o*t = -k*y - 20, -5*t + 5*y + 17 = -8 for t.\n' | b'5\n' | deepmind/math_dataset |
b'Suppose 29*i - 6 = 38 + 14. Solve 0 = 2*y + i*h + 8, 0 = -2*y + h + 9 - 2 for y.\n' | b'1\n' | b'Suppose 29*i - 6 = 38 + 14. Solve 0 = 2*y + i*h + 8, 0 = -2*y + h + 9 - 2 for y.\n' | b'1\n' | deepmind/math_dataset |
b'What is the derivative of -3 - 6 + 5 + 4*m wrt m?\n' | b'4\n' | b'What is the derivative of -3 - 6 + 5 + 4*m wrt m?\n' | b'4\n' | deepmind/math_dataset |
b'Let k(n) = 2*n - 5. Let y(u) = -u**3 - 5*u**2 - 6*u - 6. Let a be y(-4). Suppose j = a, -3*r + 10 = 3*j - 14. What is k(r)?\n' | b'7\n' | b'Let k(n) = 2*n - 5. Let y(u) = -u**3 - 5*u**2 - 6*u - 6. Let a be y(-4). Suppose j = a, -3*r + 10 = 3*j - 14. What is k(r)?\n' | b'7\n' | deepmind/math_dataset |
b'Simplify (r**(-2/5)/(r*r**(-7/2)))/(r**(-8)/(r**0/r*r)) assuming r is positive.\n' | b'r**(101/10)\n' | b'Simplify (r**(-2/5)/(r*r**(-7/2)))/(r**(-8)/(r**0/r*r)) assuming r is positive.\n' | b'r**(101/10)\n' | deepmind/math_dataset |
b'Let n = 8 + -4. Let y be 10/n*(-16)/(-20). Suppose 0 = -2*t + 2 + y, t = -f + 6. Solve -3*z - 28 + 7 = -2*c, -20 = f*z for c.\n' | b'3\n' | b'Let n = 8 + -4. Let y be 10/n*(-16)/(-20). Suppose 0 = -2*t + 2 + y, t = -f + 6. Solve -3*z - 28 + 7 = -2*c, -20 = f*z for c.\n' | b'3\n' | deepmind/math_dataset |
b'What is prob of sequence kij when three letters picked without replacement from kojijxkkokokekkii?\n' | b'7/680\n' | b'What is prob of sequence kij when three letters picked without replacement from kojijxkkokokekkii?\n' | b'7/680\n' | deepmind/math_dataset |
b'Let z(t) be the first derivative of t**5/5 - 283*t**4/4 - 305*t**3/3 - 228. What is the third derivative of z(a) wrt a?\n' | b'24*a - 1698\n' | b'Let z(t) be the first derivative of t**5/5 - 283*t**4/4 - 305*t**3/3 - 228. What is the third derivative of z(a) wrt a?\n' | b'24*a - 1698\n' | deepmind/math_dataset |
b'Simplify (z**5/z**(8/7))**(2/121)*((z**1)**(3/4))**44 assuming z is positive.\n' | b'z**(28005/847)\n' | b'Simplify (z**5/z**(8/7))**(2/121)*((z**1)**(3/4))**44 assuming z is positive.\n' | b'z**(28005/847)\n' | deepmind/math_dataset |
b'Three letters picked without replacement from {b: 3, a: 1, c: 4}. What is prob of sequence cca?\n' | b'1/28\n' | b'Three letters picked without replacement from {b: 3, a: 1, c: 4}. What is prob of sequence cca?\n' | b'1/28\n' | deepmind/math_dataset |
b'Two letters picked without replacement from mgegeggmgmgm. What is prob of picking 1 e and 1 m?\n' | b'4/33\n' | b'Two letters picked without replacement from mgegeggmgmgm. What is prob of picking 1 e and 1 m?\n' | b'4/33\n' | deepmind/math_dataset |
b'Simplify (c**14*c)/(c/(c*c*c**(-15))) assuming c is positive.\n' | b'c\n' | b'Simplify (c**14*c)/(c/(c*c*c**(-15))) assuming c is positive.\n' | b'c\n' | deepmind/math_dataset |
b'Four letters picked without replacement from utbbuuuutuu. Give prob of sequence uuut.\n' | b'7/132\n' | b'Four letters picked without replacement from utbbuuuutuu. Give prob of sequence uuut.\n' | b'7/132\n' | deepmind/math_dataset |
b'Suppose 5*x - 112 = -4*o, 5*o = -5*x - 21 + 136. Let f be (60/(-8))/15 + (-33)/2. Let d = f + x. Solve 2*a = 3*a - 5*k + d, 4 = 4*a - 4*k for a.\n' | b'2\n' | b'Suppose 5*x - 112 = -4*o, 5*o = -5*x - 21 + 136. Let f be (60/(-8))/15 + (-33)/2. Let d = f + x. Solve 2*a = 3*a - 5*k + d, 4 = 4*a - 4*k for a.\n' | b'2\n' | deepmind/math_dataset |
b'Two letters picked without replacement from dcxcxxddxxc. Give prob of picking 1 c and 1 d.\n' | b'9/55\n' | b'Two letters picked without replacement from dcxcxxddxxc. Give prob of picking 1 c and 1 d.\n' | b'9/55\n' | deepmind/math_dataset |
b'Let w = 35 - 13. Let t = w + -19. Suppose 0 = -3*v + 19 - 7. Solve -t*j - 6 = -0*j - 3*p, -p = v*j + 8 for j.\n' | b'-2\n' | b'Let w = 35 - 13. Let t = w + -19. Suppose 0 = -3*v + 19 - 7. Solve -t*j - 6 = -0*j - 3*p, -p = v*j + 8 for j.\n' | b'-2\n' | deepmind/math_dataset |
b'Suppose 4*d - 10 = 2*u, -3*d + 28 + 12 = 5*u. Let t = -15 - -21. What is the third derivative of t*f - 4*f**2 + d*f**5 - 6*f wrt f?\n' | b'300*f**2\n' | b'Suppose 4*d - 10 = 2*u, -3*d + 28 + 12 = 5*u. Let t = -15 - -21. What is the third derivative of t*f - 4*f**2 + d*f**5 - 6*f wrt f?\n' | b'300*f**2\n' | deepmind/math_dataset |
b'Calculate prob of picking 2 o and 1 v when three letters picked without replacement from {o: 2, v: 17}.\n' | b'1/57\n' | b'Calculate prob of picking 2 o and 1 v when three letters picked without replacement from {o: 2, v: 17}.\n' | b'1/57\n' | deepmind/math_dataset |
b'Let m be (8/(-5))/((-4)/10). Suppose -4 = -2*i + 2*h + 2*h, -5*i - m*h = -24. Let y = 8 - i. Solve -4*w + 16 = -4*b, -5*w + 1 = -2*b - y for b.\n' | b'-5\n' | b'Let m be (8/(-5))/((-4)/10). Suppose -4 = -2*i + 2*h + 2*h, -5*i - m*h = -24. Let y = 8 - i. Solve -4*w + 16 = -4*b, -5*w + 1 = -2*b - y for b.\n' | b'-5\n' | deepmind/math_dataset |
b'Suppose -4*g + 3*q = 4*q, g = 4*q. Let p = 13 - 10. Suppose 5*u + 6 = p*o - 3, 0 = -o + u + 3. Solve w - t + o = g, -w - t - t + 9 = 0 for w.\n' | b'1\n' | b'Suppose -4*g + 3*q = 4*q, g = 4*q. Let p = 13 - 10. Suppose 5*u + 6 = p*o - 3, 0 = -o + u + 3. Solve w - t + o = g, -w - t - t + 9 = 0 for w.\n' | b'1\n' | deepmind/math_dataset |
b'Two letters picked without replacement from {k: 1, t: 8, z: 2, j: 4}. Give prob of sequence tk.\n' | b'4/105\n' | b'Two letters picked without replacement from {k: 1, t: 8, z: 2, j: 4}. Give prob of sequence tk.\n' | b'4/105\n' | deepmind/math_dataset |
b'Simplify (s*s**1*s)**(46/7)*((s**1*s*s*s)/s)**(11/7)*s**0/s**(4/7)*(s/((s/(s*s**(-1)))/s))**(-4/5) assuming s is positive.\n' | b's**(807/35)\n' | b'Simplify (s*s**1*s)**(46/7)*((s**1*s*s*s)/s)**(11/7)*s**0/s**(4/7)*(s/((s/(s*s**(-1)))/s))**(-4/5) assuming s is positive.\n' | b's**(807/35)\n' | deepmind/math_dataset |
b'Let s(g) = 2*g + 4. Let t(v) = 3*v + 9. Let b be t(-10). Let d = b - -17. Determine s(d).\n' | b'-4\n' | b'Let s(g) = 2*g + 4. Let t(v) = 3*v + 9. Let b be t(-10). Let d = b - -17. Determine s(d).\n' | b'-4\n' | deepmind/math_dataset |
b'Let u(n) be the third derivative of n**5/60 - 5*n**4/24 - 5*n**3/6 + n**2. Let h be u(6). Find the first derivative of 4*w - 5*w - h - w wrt w.\n' | b'-2\n' | b'Let u(n) be the third derivative of n**5/60 - 5*n**4/24 - 5*n**3/6 + n**2. Let h be u(6). Find the first derivative of 4*w - 5*w - h - w wrt w.\n' | b'-2\n' | deepmind/math_dataset |
b'Let m be 42/8*(40/(-15) - 0). Let d = m - -9. Let w = 8 + d. Solve -4*r - 8 = r - 3*f, f + w = -4*r for r.\n' | b'-1\n' | b'Let m be 42/8*(40/(-15) - 0). Let d = m - -9. Let w = 8 + d. Solve -4*r - 8 = r - 3*f, f + w = -4*r for r.\n' | b'-1\n' | deepmind/math_dataset |
b'Let x(u) = u + 2. Let j be x(-4). Let p = -1 - j. Solve g - 3*b + p = -1, 0 = 5*g + 5*b + 10 for g.\n' | b'-2\n' | b'Let x(u) = u + 2. Let j be x(-4). Let p = -1 - j. Solve g - 3*b + p = -1, 0 = 5*g + 5*b + 10 for g.\n' | b'-2\n' | deepmind/math_dataset |
b'Calculate prob of picking 2 y when two letters picked without replacement from {r: 2, n: 1, y: 2, v: 1}.\n' | b'1/15\n' | b'Calculate prob of picking 2 y when two letters picked without replacement from {r: 2, n: 1, y: 2, v: 1}.\n' | b'1/15\n' | deepmind/math_dataset |
b'Four letters picked without replacement from {n: 2, e: 2, i: 1, v: 1}. Give prob of picking 2 n, 1 e, and 1 v.\n' | b'2/15\n' | b'Four letters picked without replacement from {n: 2, e: 2, i: 1, v: 1}. Give prob of picking 2 n, 1 e, and 1 v.\n' | b'2/15\n' | deepmind/math_dataset |
b'Two letters picked without replacement from {p: 3, s: 2, h: 4, c: 6}. Give prob of picking 2 s.\n' | b'1/105\n' | b'Two letters picked without replacement from {p: 3, s: 2, h: 4, c: 6}. Give prob of picking 2 s.\n' | b'1/105\n' | deepmind/math_dataset |
b'Suppose 0 = -4*i + 2*u + 62, -62 = -2*i - 4*u - 6. Suppose v + 5*m = -14, v = -2*v + 5*m + i. Differentiate -11 - 11 + 4 + v + 8*j**4 wrt j.\n' | b'32*j**3\n' | b'Suppose 0 = -4*i + 2*u + 62, -62 = -2*i - 4*u - 6. Suppose v + 5*m = -14, v = -2*v + 5*m + i. Differentiate -11 - 11 + 4 + v + 8*j**4 wrt j.\n' | b'32*j**3\n' | deepmind/math_dataset |
b'Let m(q) = q**2 + 5*q - 2. Let p be m(-6). Suppose 3*f + f = p*x - 24, 0 = 5*x - 2*f - 18. Differentiate -1 + t**2 - t**x + t**2 - 2 with respect to t.\n' | b'2*t\n' | b'Let m(q) = q**2 + 5*q - 2. Let p be m(-6). Suppose 3*f + f = p*x - 24, 0 = 5*x - 2*f - 18. Differentiate -1 + t**2 - t**x + t**2 - 2 with respect to t.\n' | b'2*t\n' | deepmind/math_dataset |
b'Four letters picked without replacement from {m: 2, u: 7}. What is prob of picking 2 m and 2 u?\n' | b'1/6\n' | b'Four letters picked without replacement from {m: 2, u: 7}. What is prob of picking 2 m and 2 u?\n' | b'1/6\n' | deepmind/math_dataset |
b'Let j(g) = 12*g + 7*g - 31 - 15*g. Let s be j(9). Differentiate 5 + s + 4 - 7*t**4 with respect to t.\n' | b'-28*t**3\n' | b'Let j(g) = 12*g + 7*g - 31 - 15*g. Let s be j(9). Differentiate 5 + s + 4 - 7*t**4 with respect to t.\n' | b'-28*t**3\n' | deepmind/math_dataset |
b'Let q = 510 - 344. Suppose 4*s = -5*o + 2*s - q, s + 66 = -2*o. Let j = o - -38. Solve -2*c - 5*r + 2*r = 5, -4*r + j = 0 for c.\n' | b'-4\n' | b'Let q = 510 - 344. Suppose 4*s = -5*o + 2*s - q, s + 66 = -2*o. Let j = o - -38. Solve -2*c - 5*r + 2*r = 5, -4*r + j = 0 for c.\n' | b'-4\n' | deepmind/math_dataset |
b'Suppose 0*x = 2*x. Suppose -3*j = 2*z - 6, j = 2*z - x*z - 6. Suppose j = -0*r - 3*r - 15, -4*n - 2*r = -6. Solve 5*w - 5*l = 10, -n*w - l + 4*l + 8 = 0 for w.\n' | b'2\n' | b'Suppose 0*x = 2*x. Suppose -3*j = 2*z - 6, j = 2*z - x*z - 6. Suppose j = -0*r - 3*r - 15, -4*n - 2*r = -6. Solve 5*w - 5*l = 10, -n*w - l + 4*l + 8 = 0 for w.\n' | b'2\n' | deepmind/math_dataset |
b'Let k(q) be the third derivative of -q**9/56 + 43*q**5/60 - 17*q**2. Find the third derivative of k(z) wrt z.\n' | b'-1080*z**3\n' | b'Let k(q) be the third derivative of -q**9/56 + 43*q**5/60 - 17*q**2. Find the third derivative of k(z) wrt z.\n' | b'-1080*z**3\n' | deepmind/math_dataset |
b'What is prob of picking 3 j when three letters picked without replacement from {a: 1, n: 2, u: 1, j: 1}?\n' | b'0\n' | b'What is prob of picking 3 j when three letters picked without replacement from {a: 1, n: 2, u: 1, j: 1}?\n' | b'0\n' | deepmind/math_dataset |
b'Let j = -2 + 5. Let r(a) be the third derivative of -a**7/5040 + a**6/144 + 13*a**5/10 - 4*a**2 - 6*a. Let w(z) be the third derivative of r(z). Give w(j).\n' | b'2\n' | b'Let j = -2 + 5. Let r(a) be the third derivative of -a**7/5040 + a**6/144 + 13*a**5/10 - 4*a**2 - 6*a. Let w(z) be the third derivative of r(z). Give w(j).\n' | b'2\n' | deepmind/math_dataset |
b'Two letters picked without replacement from ztttttgtt. Give prob of picking 2 t.\n' | b'7/12\n' | b'Two letters picked without replacement from ztttttgtt. Give prob of picking 2 t.\n' | b'7/12\n' | deepmind/math_dataset |
b'Calculate prob of picking 1 e, 1 n, and 1 g when three letters picked without replacement from {n: 6, g: 4, e: 3}.\n' | b'36/143\n' | b'Calculate prob of picking 1 e, 1 n, and 1 g when three letters picked without replacement from {n: 6, g: 4, e: 3}.\n' | b'36/143\n' | deepmind/math_dataset |
b'Three letters picked without replacement from {b: 1, p: 2, k: 3, c: 1, w: 6}. Give prob of picking 1 k, 1 w, and 1 c.\n' | b'9/143\n' | b'Three letters picked without replacement from {b: 1, p: 2, k: 3, c: 1, w: 6}. Give prob of picking 1 k, 1 w, and 1 c.\n' | b'9/143\n' | deepmind/math_dataset |
b'Simplify ((j/j**(-1))**20*j**(2/7)/(j/((j/(j*j**(-4)))/j)))**(-10/11) assuming j is positive.\n' | b'j**(-2960/77)\n' | b'Simplify ((j/j**(-1))**20*j**(2/7)/(j/((j/(j*j**(-4)))/j)))**(-10/11) assuming j is positive.\n' | b'j**(-2960/77)\n' | deepmind/math_dataset |
b'Simplify ((h**(-1/5)*h)/(h*h**(-1/4)))**11*(((h/h**(1/8))/h)/(h**(-8)/h))/(h**0*h*h**4) assuming h is positive.\n' | b'h**(177/40)\n' | b'Simplify ((h**(-1/5)*h)/(h*h**(-1/4)))**11*(((h/h**(1/8))/h)/(h**(-8)/h))/(h**0*h*h**4) assuming h is positive.\n' | b'h**(177/40)\n' | deepmind/math_dataset |
b'Suppose -7*w + 6*w = 0. Suppose -i - 3*i + 2*x + 42 = w, 25 = 2*i - 5*x. Solve -3*h - i = 2*n, -2*n + 3*h - 15 = n for n.\n' | b'-5\n' | b'Suppose -7*w + 6*w = 0. Suppose -i - 3*i + 2*x + 42 = w, 25 = 2*i - 5*x. Solve -3*h - i = 2*n, -2*n + 3*h - 15 = n for n.\n' | b'-5\n' | deepmind/math_dataset |
b'Suppose 4*x - 2*d = -4*d + 28, 5*x - 28 = d. Suppose 3*o - 2*m + 2 = 0, -4 = -x*o + 5*o - 4*m. Differentiate 2*z**2 + o - z**2 + 2 - 6 with respect to z.\n' | b'2*z\n' | b'Suppose 4*x - 2*d = -4*d + 28, 5*x - 28 = d. Suppose 3*o - 2*m + 2 = 0, -4 = -x*o + 5*o - 4*m. Differentiate 2*z**2 + o - z**2 + 2 - 6 with respect to z.\n' | b'2*z\n' | deepmind/math_dataset |
b'Suppose -4*t + 5 + 3 = 0. Let y be (-8)/(-2) - (-6)/t. Solve -4*n = 5*u - 0*u - 1, y = -3*n + 4*u for n.\n' | b'-1\n' | b'Suppose -4*t + 5 + 3 = 0. Let y be (-8)/(-2) - (-6)/t. Solve -4*n = 5*u - 0*u - 1, y = -3*n + 4*u for n.\n' | b'-1\n' | deepmind/math_dataset |
b'What is prob of sequence mid when three letters picked without replacement from idiimmimmiimdim?\n' | b'2/65\n' | b'What is prob of sequence mid when three letters picked without replacement from idiimmimmiimdim?\n' | b'2/65\n' | deepmind/math_dataset |
b'Calculate prob of sequence ek when two letters picked without replacement from {k: 2, e: 10, j: 4, z: 3}.\n' | b'10/171\n' | b'Calculate prob of sequence ek when two letters picked without replacement from {k: 2, e: 10, j: 4, z: 3}.\n' | b'10/171\n' | deepmind/math_dataset |
b'Two letters picked without replacement from {v: 1, q: 1, x: 1, i: 1, m: 1}. What is prob of sequence xi?\n' | b'1/20\n' | b'Two letters picked without replacement from {v: 1, q: 1, x: 1, i: 1, m: 1}. What is prob of sequence xi?\n' | b'1/20\n' | deepmind/math_dataset |
b'Let t(c) be the third derivative of -3*c**8/112 - c**4/12 - 7*c**2. What is the second derivative of t(m) wrt m?\n' | b'-180*m**3\n' | b'Let t(c) be the third derivative of -3*c**8/112 - c**4/12 - 7*c**2. What is the second derivative of t(m) wrt m?\n' | b'-180*m**3\n' | deepmind/math_dataset |
b'Simplify g**35*g*(g*(g*g**34)/g*g)/g*(g*g**(-20/7)*g)**(-50) assuming g is positive.\n' | b'g**(797/7)\n' | b'Simplify g**35*g*(g*(g*g**34)/g*g)/g*(g*g**(-20/7)*g)**(-50) assuming g is positive.\n' | b'g**(797/7)\n' | deepmind/math_dataset |
b'Simplify ((q**(-1/13))**23/(q**1/(q*q/(((q/((q**(-5)*q*q)/q))/q)/q)*q)))**(3/8) assuming q is positive.\n' | b'q**(-27/26)\n' | b'Simplify ((q**(-1/13))**23/(q**1/(q*q/(((q/((q**(-5)*q*q)/q))/q)/q)*q)))**(3/8) assuming q is positive.\n' | b'q**(-27/26)\n' | deepmind/math_dataset |
b'Let i(j) = -2*j + 6*j + 2*j**2 - j**3 + 3 + 0*j**3 + 0*j**2. Let m be i(-2). Let l = 0 + m. Solve -4*v - 5 = l, -4*k - 16 = -v for k.\n' | b'-5\n' | b'Let i(j) = -2*j + 6*j + 2*j**2 - j**3 + 3 + 0*j**3 + 0*j**2. Let m be i(-2). Let l = 0 + m. Solve -4*v - 5 = l, -4*k - 16 = -v for k.\n' | b'-5\n' | deepmind/math_dataset |
b'Let o = -569 - -571. What is the second derivative of 2 + 236*b**o + 2*b + 3*b - 18 - 61*b**2 + 0*b wrt b?\n' | b'350\n' | b'Let o = -569 - -571. What is the second derivative of 2 + 236*b**o + 2*b + 3*b - 18 - 61*b**2 + 0*b wrt b?\n' | b'350\n' | deepmind/math_dataset |
b'Two letters picked without replacement from {s: 17, g: 2}. What is prob of sequence ss?\n' | b'136/171\n' | b'Two letters picked without replacement from {s: 17, g: 2}. What is prob of sequence ss?\n' | b'136/171\n' | deepmind/math_dataset |
b'Simplify ((s/(s/s**(-1)))/(((s**(-2/13)*s)/s)/s))/(s**(-3)*s**5*s) assuming s is positive.\n' | b's**(-37/13)\n' | b'Simplify ((s/(s/s**(-1)))/(((s**(-2/13)*s)/s)/s))/(s**(-3)*s**5*s) assuming s is positive.\n' | b's**(-37/13)\n' | deepmind/math_dataset |
b'Simplify (((x**1/x)**41*(x**(-1/4))**17)**(18/13))**(-41) assuming x is positive.\n' | b'x**(6273/26)\n' | b'Simplify (((x**1/x)**41*(x**(-1/4))**17)**(18/13))**(-41) assuming x is positive.\n' | b'x**(6273/26)\n' | deepmind/math_dataset |
b'Let c(n) = 0*n**2 - 3*n + 3*n + 7*n - n**2. What is c(6)?\n' | b'6\n' | b'Let c(n) = 0*n**2 - 3*n + 3*n + 7*n - n**2. What is c(6)?\n' | b'6\n' | deepmind/math_dataset |
b'Let b = 2 - -3. Suppose 2*x + 12 = b*x. Find the second derivative of -m + 6*m - 2*m**4 + 0*m**x wrt m.\n' | b'-24*m**2\n' | b'Let b = 2 - -3. Suppose 2*x + 12 = b*x. Find the second derivative of -m + 6*m - 2*m**4 + 0*m**x wrt m.\n' | b'-24*m**2\n' | deepmind/math_dataset |
b'Three letters picked without replacement from {i: 7, t: 1, m: 6, y: 1}. What is prob of sequence itm?\n' | b'1/65\n' | b'Three letters picked without replacement from {i: 7, t: 1, m: 6, y: 1}. What is prob of sequence itm?\n' | b'1/65\n' | deepmind/math_dataset |
b'What is prob of picking 2 d and 1 o when three letters picked without replacement from {y: 3, o: 2, u: 1, z: 2, d: 3, k: 4}?\n' | b'6/455\n' | b'What is prob of picking 2 d and 1 o when three letters picked without replacement from {y: 3, o: 2, u: 1, z: 2, d: 3, k: 4}?\n' | b'6/455\n' | deepmind/math_dataset |
b'What is prob of sequence ha when two letters picked without replacement from {a: 1, h: 2, n: 1, r: 1}?\n' | b'1/10\n' | b'What is prob of sequence ha when two letters picked without replacement from {a: 1, h: 2, n: 1, r: 1}?\n' | b'1/10\n' | deepmind/math_dataset |
b'Simplify g**(-1/4)/g*g/(g**(4/5)/g)*(g/(g**(1/4)*g))**(-10/7)*((g/g**(-6/7)*g)/g)/(g**(-2/9)/g)*((g*g/(g*(g**0*g)/g)*g*g)/g)**28 assuming g is positive.\n' | b'g**(74827/1260)\n' | b'Simplify g**(-1/4)/g*g/(g**(4/5)/g)*(g/(g**(1/4)*g))**(-10/7)*((g/g**(-6/7)*g)/g)/(g**(-2/9)/g)*((g*g/(g*(g**0*g)/g)*g*g)/g)**28 assuming g is positive.\n' | b'g**(74827/1260)\n' | deepmind/math_dataset |
b'Four letters picked without replacement from imjirxxmlxmm. Give prob of picking 2 i and 2 m.\n' | b'2/165\n' | b'Four letters picked without replacement from imjirxxmlxmm. Give prob of picking 2 i and 2 m.\n' | b'2/165\n' | deepmind/math_dataset |
b'Suppose 12*a - 7 = 11*a. Suppose 5 = 6*u - a. Differentiate 14*s**u + 3*s + 7 + s**2 - 3*s with respect to s.\n' | b'30*s\n' | b'Suppose 12*a - 7 = 11*a. Suppose 5 = 6*u - a. Differentiate 14*s**u + 3*s + 7 + s**2 - 3*s with respect to s.\n' | b'30*s\n' | deepmind/math_dataset |
b'Simplify (d**18*d*d*d**(-33/2)/d*d**22*d**(37/4)/d)**(-43) assuming d is positive.\n' | b'd**(-5633/4)\n' | b'Simplify (d**18*d*d*d**(-33/2)/d*d**22*d**(37/4)/d)**(-43) assuming d is positive.\n' | b'd**(-5633/4)\n' | deepmind/math_dataset |
b'Let t(m) = m + 12. Suppose -5*j + 2*i = 4*i + 41, -20 = 2*j + 2*i. Let u be t(j). Solve 5*n + 35 = -u*q, 4*q - 3*q + 4 = 0 for n.\n' | b'-3\n' | b'Let t(m) = m + 12. Suppose -5*j + 2*i = 4*i + 41, -20 = 2*j + 2*i. Let u be t(j). Solve 5*n + 35 = -u*q, 4*q - 3*q + 4 = 0 for n.\n' | b'-3\n' | deepmind/math_dataset |
b'Suppose t - 3*g - 6 = 0, 4*g + 12 = 8. Solve -b + 6 - 10 = 0, s - 10 = t*b for s.\n' | b'-2\n' | b'Suppose t - 3*g - 6 = 0, 4*g + 12 = 8. Solve -b + 6 - 10 = 0, s - 10 = t*b for s.\n' | b'-2\n' | deepmind/math_dataset |
b'Simplify (((p/(p/(p/(p**(1/7)*p))))/p**(-4/9))/(p**0*p*p)**34)/((p**(2/7)/p)/p**(-1/5))**(-15/4) assuming p is positive.\n' | b'p**(-8773/126)\n' | b'Simplify (((p/(p/(p/(p**(1/7)*p))))/p**(-4/9))/(p**0*p*p)**34)/((p**(2/7)/p)/p**(-1/5))**(-15/4) assuming p is positive.\n' | b'p**(-8773/126)\n' | deepmind/math_dataset |
b'Suppose 4*u - 6*u = -i - 74, i + 3*u + 69 = 0. Let c = -67 - i. Solve -2*t - 3*g - 14 = -0*t, -c*t + g = 1 for t.\n' | b'-1\n' | b'Suppose 4*u - 6*u = -i - 74, i + 3*u + 69 = 0. Let c = -67 - i. Solve -2*t - 3*g - 14 = -0*t, -c*t + g = 1 for t.\n' | b'-1\n' | deepmind/math_dataset |
b'Two letters picked without replacement from apxnpnnananpnphxn. What is prob of sequence pa?\n' | b'3/68\n' | b'Two letters picked without replacement from apxnpnnananpnphxn. What is prob of sequence pa?\n' | b'3/68\n' | deepmind/math_dataset |
b'Calculate prob of picking 1 u, 1 i, and 1 w when three letters picked without replacement from {b: 2, m: 1, w: 1, t: 2, i: 1, u: 1}.\n' | b'1/56\n' | b'Calculate prob of picking 1 u, 1 i, and 1 w when three letters picked without replacement from {b: 2, m: 1, w: 1, t: 2, i: 1, u: 1}.\n' | b'1/56\n' | deepmind/math_dataset |
b'Let q = 38 + -36. Suppose 2*o + 2*w - 2 = 12, -2*w = -4*o - 2. Let b(k) = 5*k - k**2 - q*k**o - k**2 + 2 + 3*k**2. Determine b(4).\n' | b'6\n' | b'Let q = 38 + -36. Suppose 2*o + 2*w - 2 = 12, -2*w = -4*o - 2. Let b(k) = 5*k - k**2 - q*k**o - k**2 + 2 + 3*k**2. Determine b(4).\n' | b'6\n' | deepmind/math_dataset |
b'Let y be ((-9)/6*16/(-3))/2. Solve 0 = -5*q + 5*c - 5, 0*q - 2 = 5*q - y*c for q.\n' | b'2\n' | b'Let y be ((-9)/6*16/(-3))/2. Solve 0 = -5*q + 5*c - 5, 0*q - 2 = 5*q - y*c for q.\n' | b'2\n' | deepmind/math_dataset |
b'Two letters picked without replacement from nosfffsnfnsfosnnff. What is prob of picking 1 o and 1 s?\n' | b'8/153\n' | b'Two letters picked without replacement from nosfffsnfnsfosnnff. What is prob of picking 1 o and 1 s?\n' | b'8/153\n' | deepmind/math_dataset |
b'Let o(s) = -34*s**3 - 6*s**2. Let h(t) = t**3 + t**2. Suppose 77*p - 72*p = -15. Let m(w) = p*h(w) - o(w). Find the third derivative of m(j) wrt j.\n' | b'186\n' | b'Let o(s) = -34*s**3 - 6*s**2. Let h(t) = t**3 + t**2. Suppose 77*p - 72*p = -15. Let m(w) = p*h(w) - o(w). Find the third derivative of m(j) wrt j.\n' | b'186\n' | deepmind/math_dataset |
b'Calculate prob of sequence puq when three letters picked without replacement from {u: 1, a: 1, p: 1, d: 1, q: 2, m: 1}.\n' | b'1/105\n' | b'Calculate prob of sequence puq when three letters picked without replacement from {u: 1, a: 1, p: 1, d: 1, q: 2, m: 1}.\n' | b'1/105\n' | deepmind/math_dataset |
b'Two letters picked without replacement from {p: 1, t: 1, j: 2}. What is prob of sequence tt?\n' | b'0\n' | b'Two letters picked without replacement from {p: 1, t: 1, j: 2}. What is prob of sequence tt?\n' | b'0\n' | deepmind/math_dataset |
b'Let v(b) be the first derivative of 3 + 0*b**3 + 1/4*b**4 + 2*b**2 + 0*b. What is the second derivative of v(a) wrt a?\n' | b'6*a\n' | b'Let v(b) be the first derivative of 3 + 0*b**3 + 1/4*b**4 + 2*b**2 + 0*b. What is the second derivative of v(a) wrt a?\n' | b'6*a\n' | deepmind/math_dataset |
b'Suppose 14*m + 813 + 251 = 0. Let w = m - -98. Differentiate -3 - 7*r + 6*r + w*r + 8 wrt r.\n' | b'21\n' | b'Suppose 14*m + 813 + 251 = 0. Let w = m - -98. Differentiate -3 - 7*r + 6*r + w*r + 8 wrt r.\n' | b'21\n' | deepmind/math_dataset |
b'Suppose 6*h - 16 = 2*h - g, -4*h - 5*g + 32 = 0. Suppose -z = v + 12 - 2, h*z - 3 = 0. Let y(x) = 3*x + 24. Give y(v).\n' | b'-9\n' | b'Suppose 6*h - 16 = 2*h - g, -4*h - 5*g + 32 = 0. Suppose -z = v + 12 - 2, h*z - 3 = 0. Let y(x) = 3*x + 24. Give y(v).\n' | b'-9\n' | deepmind/math_dataset |
b'Let k = 6 + -10. Let b(p) be the first derivative of -p**3/3 - 5*p**2/2 + 3*p + 1. Give b(k).\n' | b'7\n' | b'Let k = 6 + -10. Let b(p) be the first derivative of -p**3/3 - 5*p**2/2 + 3*p + 1. Give b(k).\n' | b'7\n' | deepmind/math_dataset |
b'What is prob of picking 1 u, 1 o, 1 d, and 1 p when four letters picked without replacement from {p: 1, o: 1, u: 2, d: 1}?\n' | b'2/5\n' | b'What is prob of picking 1 u, 1 o, 1 d, and 1 p when four letters picked without replacement from {p: 1, o: 1, u: 2, d: 1}?\n' | b'2/5\n' | deepmind/math_dataset |
b'Four letters picked without replacement from {k: 11, h: 2, v: 5, e: 1}. Give prob of picking 2 h, 1 e, and 1 k.\n' | b'11/3876\n' | b'Four letters picked without replacement from {k: 11, h: 2, v: 5, e: 1}. Give prob of picking 2 h, 1 e, and 1 k.\n' | b'11/3876\n' | deepmind/math_dataset |
b'Four letters picked without replacement from {o: 2, e: 6}. What is prob of picking 4 e?\n' | b'3/14\n' | b'Four letters picked without replacement from {o: 2, e: 6}. What is prob of picking 4 e?\n' | b'3/14\n' | deepmind/math_dataset |
b'Let a(b) = 4*b - 9. Let m(g) = 13 + 0*g - 12 - g. Let q(v) = -2*a(v) - 2*m(v). What is the first derivative of q(z) wrt z?\n' | b'-6\n' | b'Let a(b) = 4*b - 9. Let m(g) = 13 + 0*g - 12 - g. Let q(v) = -2*a(v) - 2*m(v). What is the first derivative of q(z) wrt z?\n' | b'-6\n' | deepmind/math_dataset |
b'What is prob of picking 1 j and 2 f when three letters picked without replacement from {f: 2, j: 3}?\n' | b'3/10\n' | b'What is prob of picking 1 j and 2 f when three letters picked without replacement from {f: 2, j: 3}?\n' | b'3/10\n' | deepmind/math_dataset |
b'Let x(w) = 15*w**3 - 5*w + 5. Let o(d) = d**3 + 3*d**3 - d**2 - 5*d**3 + d - 1. Let k(p) = 5*o(p) + x(p). What is the third derivative of k(r) wrt r?\n' | b'60\n' | b'Let x(w) = 15*w**3 - 5*w + 5. Let o(d) = d**3 + 3*d**3 - d**2 - 5*d**3 + d - 1. Let k(p) = 5*o(p) + x(p). What is the third derivative of k(r) wrt r?\n' | b'60\n' | deepmind/math_dataset |
b'Let p = -2 - -4. Suppose -2*f + 0 = 4. Let a be 2*f/4 + 9. Solve -i + 3*i - 5*x + a = 0, 4*i = p*x for i.\n' | b'1\n' | b'Let p = -2 - -4. Suppose -2*f + 0 = 4. Let a be 2*f/4 + 9. Solve -i + 3*i - 5*x + a = 0, 4*i = p*x for i.\n' | b'1\n' | deepmind/math_dataset |
b'Let f(k) = -11*k - 153. Let b be f(-12). Let q be (-82)/(-287) + 36/b*-1. Solve 6*o - 2*o - q*j + 10 = 0, -2 = 5*o + j for o.\n' | b'-1\n' | b'Let f(k) = -11*k - 153. Let b be f(-12). Let q be (-82)/(-287) + 36/b*-1. Solve 6*o - 2*o - q*j + 10 = 0, -2 = 5*o + j for o.\n' | b'-1\n' | deepmind/math_dataset |
b'What is prob of sequence bvlb when four letters picked without replacement from blvb?\n' | b'1/12\n' | b'What is prob of sequence bvlb when four letters picked without replacement from blvb?\n' | b'1/12\n' | deepmind/math_dataset |
b'Let u(y) be the first derivative of y**7/105 + y**4/6 + y**2 - 2. Let b(i) be the second derivative of u(i). Find the second derivative of b(o) wrt o.\n' | b'24*o**2\n' | b'Let u(y) be the first derivative of y**7/105 + y**4/6 + y**2 - 2. Let b(i) be the second derivative of u(i). Find the second derivative of b(o) wrt o.\n' | b'24*o**2\n' | deepmind/math_dataset |
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